I can't remember the very first thing I downloaded. But I do remember Aminet with very fond memories.
Back then we were on 14400 dialup. My dad allowed me 1/2 an hour of Internet use per week, on a Saturday morning. Back then they had the "unique page" which you bookmark and when you visit it, it shows you everything that has been uploaded since your last visit. Every week there were hundreds of new games, utilities, Workbench hacks..... At the time MODs and demos didn't interest me, but there were always lots of them too.
I would rush to look down the whole list and download everything that looked fun or useful, then begin the laborious process of transferring everything from my dad's PC to my Amiga on floppies. Every week there was something so exciting that it was always a treat :-)
Now when I look at Aminet I always have a touch of sadness, when I see how little is uploaded.
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moto